Periodic solutions of singular Duffing equations under one-sided Lipschitz condition
DOI:
https://doi.org/10.12775/TMNA.2024.030Keywords
Duffing equation, Poincaré-Birkhoff twist theorem, periodic solutionAbstract
In this paper, we study the existence and multiplicity of periodic solutions for singular Duffing equations $x''+g(x)=p(t)$. When $g$ satisfies one-sided Lipschitz condition and the related time map satisfies oscillation property, we prove that the given equation has infinitely many periodic solutions.References
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